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Paper Citation Record · LEDGER

On a Family of Nested Recurrences and Their Arithmetical Solutions

As of 11 August 2026, this Paper Citation Record lists 10 of 10 outbound references and 0 inbound Pith citation observations for arXiv:2506.00093.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2506.00093 v1

Coverage vector

measured 10 of 10 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T12:32:21.336739Z

measured 10 of 10 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

10 of 10 outbound references displayed

  • verified exact3
  • verified fuzzy4
  • unresolved3
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 52122118-c304-4565-ba67-1ea5491eed20 · outbound

This paper cites Connell, Problem E1350, Amer.

On a Family of Nested Recurrences and Their Arithmetical Solutions Connell, Problem E1350, Amer

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:32:22.767180Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-07T12:32:20.743174Z digest=sha256:08e8c4d6ad89bc94dd59771ed87c6b9e12fd2fa76085e632cf41f79936c9705c

Observation 5cef85ab-97bd-4548-9288-8e36f2f2f0c5 · outbound

This paper cites Deugau and F.

On a Family of Nested Recurrences and Their Arithmetical Solutions Deugau and F

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:32:22.571293Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-07T12:32:20.810044Z digest=sha256:e54c368d3dcb026f033289851b8339d1b77c4efd4c9c09fcf1333c29296aa568

Observation d2a68e6c-edd5-4f33-bfbd-e12e188cf884 · outbound

This paper cites Connecting Slow Solutions to Nested Recurrences with Linear Recurrent Sequences.

On a Family of Nested Recurrences and Their Arithmetical Solutions Connecting Slow Solutions to Nested Recurrences with Linear Recurrent Sequences

Reference 3

Resolution
verified exact
local_arxiv, observed 2026-08-07T12:32:21.835123Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-07T12:32:20.846129Z digest=sha256:ed8c11d0488e87c0e0bb5eb432ae3d273d7b86c7600993e3e71f81f6e67dda16

Observation 85248450-ed41-4e5a-b363-b659fbac989c · outbound

This paper cites an unresolved cited work.

On a Family of Nested Recurrences and Their Arithmetical Solutions Unresolved cited work

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-07T12:32:20.904091Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T12:32:20.904091Z digest=sha256:499a217453ff5205d39a611328029c04f7016cb246e3311215ff9d9cfec7838b

Observation b323fc4c-949c-42c2-b332-920d9756df69 · outbound

This paper cites an unresolved cited work.

On a Family of Nested Recurrences and Their Arithmetical Solutions Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:32:22.385129Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-07T12:32:20.969141Z digest=sha256:344d592ecdf0ec170756b3522e1dc6aeda4efb05a7cb09cbbacf28b4ef8a0306

Observation f9b95161-fe4c-4c3f-b8b6-ad9f9486c3fe · outbound

This paper cites an unresolved cited work.

On a Family of Nested Recurrences and Their Arithmetical Solutions Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:32:22.303775Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-07T12:32:21.065439Z digest=sha256:f1b8762725f22d3966648beebbf24f23fa8d415de05cccdebd68aa4036936073

Observation 76ff8ea0-fa2e-4659-a754-dc3af85d8e8d · outbound

This paper cites On Generalizing the Connell Sequence.

On a Family of Nested Recurrences and Their Arithmetical Solutions On Generalizing the Connell Sequence

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:32:22.180252Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-07T12:32:21.110102Z digest=sha256:b2f4f46c5850c1850d2f935f999b785d9e50230b93e2e56f4dd0b35c08ddbda5

Observation 66015f3a-a4be-4100-9686-0c9ac25f7bb5 · outbound

This paper cites Kimberling and K.

On a Family of Nested Recurrences and Their Arithmetical Solutions Kimberling and K

Reference 8

Resolution
verified exact
doi, observed 2026-08-07T12:32:21.700073Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-07T12:32:21.152590Z digest=sha256:3e77fa4af1aa8ab5d1d7a3c2a56e2110b46dc7d29f74ff24e70c060fe40835c2

Observation 71d12480-e763-4b94-9a1c-6d96f5f06516 · outbound

This paper cites an unresolved cited work.

On a Family of Nested Recurrences and Their Arithmetical Solutions Unresolved cited work

Reference 9

Resolution
verified exact
doi, observed 2026-08-07T12:32:21.487818Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-07T12:32:21.211976Z digest=sha256:e4cd334d2aa41e987a41170fa5a3bca49734ee4afdf561b2206e55945dc2386b

Observation 2c98f966-ddc3-4001-9bfe-644ddf9998f5 · outbound

This paper cites (2024), The On-Line Encyclopedia of Integer Sequences, https: //oeis.org.

On a Family of Nested Recurrences and Their Arithmetical Solutions (2024), The On-Line Encyclopedia of Integer Sequences, https: //oeis.org

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:32:22.025438Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-07T12:32:21.336739Z digest=sha256:30adf119244d40dd06eef98a86ad3d5e05fcb8b2a801ac961da621e9caa7710c

Pith citing papers

No inbound Pith citation observations are available.